Math worksheet for practicing written subtraction of 4-digit numbers, including examples on borrowing across zeros.
A math worksheet titled "Written subtraction of 4-digit numbers (5)" from Urbrainy.com, featuring 12 subtraction problems with four-digit numbers, each labeled with place values (TH, H, T, O), and a note explaining how to handle zeros in the tens and hundreds places.
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Step-by-step solution for: Written subtraction of 4-digit numbers (5) - Subtraction by ...
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Show Answer Key & Explanations
Step-by-step solution for: Written subtraction of 4-digit numbers (5) - Subtraction by ...
Problem Description:
The task involves solving written subtraction problems for 4-digit numbers. Some of these problems require borrowing (regrouping) because there are zeros in the tens or hundreds place. The worksheet provides examples to help understand how to handle such cases.
Solution Approach:
1. Understand the Place Values: Each column represents a specific place value: Thousands (TH), Hundreds (H), Tens (T), and Ones (O).
2. Subtract Column by Column: Start from the rightmost column (Ones) and move leftward.
3. Handle Borrowing: If the top number in a column is smaller than the bottom number, borrow from the next higher place value.
4. Special Case with Zeros: If there is a zero in the tens or hundreds place, you may need to borrow from the next higher place value multiple times.
Step-by-Step Solutions:
#### Problem 1:
```
5 2 0 3
- 3 1 4 6
---------
```
- Ones: 3 - 6 → Borrow from Tens (0 becomes 9, and Hundreds decreases by 1). Now, 13 - 6 = 7.
- Tens: 9 - 4 = 5.
- Hundreds: 1 (after borrowing) - 1 = 0.
- Thousands: 5 - 3 = 2.
Answer: `2 0 5 7`
#### Problem 2:
```
4 5 0 6
- 1 3 8 7
---------
```
- Ones: 6 - 7 → Borrow from Tens (0 becomes 9, and Hundreds decreases by 1). Now, 16 - 7 = 9.
- Tens: 9 - 8 = 1.
- Hundreds: 4 (after borrowing) - 3 = 1.
- Thousands: 4 - 1 = 3.
Answer: `3 1 1 9`
#### Problem 3:
```
3 9 0 1
- 1 5 5 9
---------
```
- Ones: 1 - 9 → Borrow from Tens (0 becomes 9, and Hundreds decreases by 1). Now, 11 - 9 = 2.
- Tens: 9 - 5 = 4.
- Hundreds: 8 (after borrowing) - 5 = 3.
- Thousands: 3 - 1 = 2.
Answer: `2 3 4 2`
#### Problem 4:
```
3 4 0 7
- 1 2 2 9
---------
```
- Ones: 7 - 9 → Borrow from Tens (0 becomes 9, and Hundreds decreases by 1). Now, 17 - 9 = 8.
- Tens: 9 - 2 = 7.
- Hundreds: 3 (after borrowing) - 2 = 1.
- Thousands: 3 - 1 = 2.
Answer: `2 1 7 8`
#### Problem 5:
```
5 6 0 7
- 2 2 2 8
---------
```
- Ones: 7 - 8 → Borrow from Tens (0 becomes 9, and Hundreds decreases by 1). Now, 17 - 8 = 9.
- Tens: 9 - 2 = 7.
- Hundreds: 5 (after borrowing) - 2 = 3.
- Thousands: 5 - 2 = 3.
Answer: `3 3 7 9`
#### Problem 6:
```
9 6 0 3
- 5 5 8 8
---------
```
- Ones: 3 - 8 → Borrow from Tens (0 becomes 9, and Hundreds decreases by 1). Now, 13 - 8 = 5.
- Tens: 9 - 8 = 1.
- Hundreds: 5 (after borrowing) - 5 = 0.
- Thousands: 9 - 5 = 4.
Answer: `4 0 1 5`
#### Problem 7:
```
8 2 0 6
- 4 1 0 7
---------
```
- Ones: 6 - 7 → Borrow from Tens (0 becomes 9, and Hundreds decreases by 1). Now, 16 - 7 = 9.
- Tens: 9 - 0 = 9.
- Hundreds: 1 (after borrowing) - 1 = 0.
- Thousands: 8 - 4 = 4.
Answer: `4 0 9 9`
#### Problem 8:
```
6 4 0 5
- 3 3 7 6
---------
```
- Ones: 5 - 6 → Borrow from Tens (0 becomes 9, and Hundreds decreases by 1). Now, 15 - 6 = 9.
- Tens: 9 - 7 = 2.
- Hundreds: 3 (after borrowing) - 3 = 0.
- Thousands: 6 - 3 = 3.
Answer: `3 0 2 9`
#### Problem 9:
```
7 7 0 4
- 5 5 2 9
---------
```
- Ones: 4 - 9 → Borrow from Tens (0 becomes 9, and Hundreds decreases by 1). Now, 14 - 9 = 5.
- Tens: 9 - 2 = 7.
- Hundreds: 6 (after borrowing) - 5 = 1.
- Thousands: 7 - 5 = 2.
Answer: `2 1 7 5`
#### Problem 10:
```
5 2 0 1
- 2 0 8 3
---------
```
- Ones: 1 - 3 → Borrow from Tens (0 becomes 9, and Hundreds decreases by 1). Now, 11 - 3 = 8.
- Tens: 9 - 8 = 1.
- Hundreds: 1 (after borrowing) - 0 = 1.
- Thousands: 5 - 2 = 3.
Answer: `3 1 1 8`
#### Problem 11:
```
6 9 0 0
- 2 7 6 7
---------
```
- Ones: 0 - 7 → Borrow from Tens (0 becomes 9, and Hundreds decreases by 1). Now, 10 - 7 = 3.
- Tens: 9 - 6 = 3.
- Hundreds: 8 (after borrowing) - 7 = 1.
- Thousands: 6 - 2 = 4.
Answer: `4 1 3 3`
#### Problem 12:
```
8 3 0 5
- 4 1 2 6
---------
```
- Ones: 5 - 6 → Borrow from Tens (0 becomes 9, and Hundreds decreases by 1). Now, 15 - 6 = 9.
- Tens: 9 - 2 = 7.
- Hundreds: 2 (after borrowing) - 1 = 1.
- Thousands: 8 - 4 = 4.
Answer: `4 1 7 9`
Final Answers:
1. `2 0 5 7`
2. `3 1 1 9`
3. `2 3 4 2`
4. `2 1 7 8`
5. `3 3 7 9`
6. `4 0 1 5`
7. `4 0 9 9`
8. `3 0 2 9`
9. `2 1 7 5`
10. `3 1 1 8`
11. `4 1 3 3`
12. `4 1 7 9`
Boxed Final Answer:
\[
\boxed{
\begin{array}{c}
2057 \\
3119 \\
2342 \\
2178 \\
3379 \\
4015 \\
4099 \\
3029 \\
2175 \\
3118 \\
4133 \\
4179 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of subtracting 4 digit numbers worksheet.